Question

You have a mass at the top of a frictionless 85 cm ramp that has been...

You have a mass at the top of a frictionless 85 cm ramp that has been raised to an angle of 30° above the horizontal. Do the following and be sure to show your work: a. Find the speed of the mass when it reaches the bottom of the ramp if it starts from rest. (Hint: this can be done with either the kinematics equations or conservation of energy.) b. Once the mass reaches the bottom of the ramp, it slides horizontally off the edge of a table. Find the time it takes for the mass to reach the ground 1.2 m below, measured from the moment it leaves the table. (Hint: this can be done with the kinematics equations.)

Homework Answers

Answer #1


Use energy conservation principle and equation of kinematics for vertical motion for the second part where downward direction is taken as positive to find the required speed and time as shown below.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
10 kg point mass located at the top of a 1.50 m inclined ramp that is...
10 kg point mass located at the top of a 1.50 m inclined ramp that is without friction. The ramp makes a 30 degree angle with the horizontal. The bottom half of the ramp is on a table and is 0.66 m above the ground. When mass is released from rest, it slides down the ramp ( a=4.9 m/s2 ) & off the table, then goes through the air until it hits the ground. (table & ramp don't move) The...
An object with a mass m = 3.5 kg is released from rest at the top...
An object with a mass m = 3.5 kg is released from rest at the top of the ramp. The length of the ramp is 4 m. The object slides down the ramp reaching a speed of 1.8 m/s at the bottom. (a) How much time (in sec) does it take the object to reach the bottom of the ramp? (use kinematics equations) (b) What is the acceleration of the object (in m/s2 )? (use kinematics equations) (c) If the...
A block of mass 19.6 kg starts at rest at the top of a frictionless ramp...
A block of mass 19.6 kg starts at rest at the top of a frictionless ramp that makes an angle of 36.2 ^\circ ∘ below the horizontal. After it slides without friction down the entire 2.89 m length of the ramp, it begins to slide horizontally along a rough concrete surface with a coefficient of kinetic friction of \mu_kμ k = 0.503 until it slows to a complete stop. How far does the block slide horizontally along the concrete before...
Set the ground level as zero gravitational potential energy. Use conservation of energy to solve for...
Set the ground level as zero gravitational potential energy. Use conservation of energy to solve for the final velocity of the sliding block on the frictionless surface (it will be a function of the incline height, ℎ). Note: the block starts from rest. Show your work below or on your own separate page. 3 5. Using conservation of energy, solve for the final translational velocity of the center of mass, ?, of a rolling object with moment of inertia, ?,...
Video text description for the Direct Measurement Video of Dry-Ice Levitated Puck on a Ramp In...
Video text description for the Direct Measurement Video of Dry-Ice Levitated Puck on a Ramp In this video, a puck made out of dry ice is at the top of a ramp. At the bottom of the ramp is a spring, aligned parallel with the ramp. A scale marked off in centimeters overlays the video, also aligned parallel with the ramp, and a protractor indicates that the angle of the ramp is approximately 22 degrees. The video is recorded at...
A block of mass m = 3.3 kg is on an inclined plane with a coefficient...
A block of mass m = 3.3 kg is on an inclined plane with a coefficient of friction μ1 = 0.39, at an initial height h = 0.53 m above the ground. The plane is inclined at an angle θ = 44°. The block is then compressed against a spring a distance Δx = 0.13 m from its equilibrium point (the spring has a spring constant of k1 = 35 N/m) and released. At the bottom of the inclined plane...
Learning Goal: To understand how to apply the law of conservation of energy to situations with...
Learning Goal: To understand how to apply the law of conservation of energy to situations with and without nonconservative forces acting. The law of conservation of energy states the following: In an isolated system the total energy remains constant. If the objects within the system interact through gravitational and elastic forces only, then the total mechanical energy is conserved. The mechanical energy of a system is defined as the sum of kinetic energy K and potential energy U. For such...
A hanging weight, with a mass of m1 = 0.355 kg, is attached by a rope...
A hanging weight, with a mass of m1 = 0.355 kg, is attached by a rope to a block with mass m2 = 0.845 kg as shown in the figure below. The rope goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As...
do all five questions Question 1 20 pts Ignoring the effects of air resistance, if a...
do all five questions Question 1 20 pts Ignoring the effects of air resistance, if a ball falls freely toward the ground, its total mechanical energy Group of answer choices increases remains the same not enough information decreases Flag this Question Question 2 20 pts A child jumps off a wall from an initial height of 16.4 m and lands on a trampoline. Before the child springs back up into the air the trampoline compresses 1.8 meters. The spring constant...
ch 6 1: It is generally a good idea to gain an understanding of the "size"...
ch 6 1: It is generally a good idea to gain an understanding of the "size" of units. Consider the objects and calculate the kinetic energy of each one. A ladybug weighing 37.3 mg flies by your head at 3.83 km/h . ×10 J A 7.15 kg bowling ball slides (not rolls) down an alley at 17.5 km/h . J A car weighing 1260 kg moves at a speed of 49.5 km/h. 5: The graph shows the ?-directed force ??...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT