Question

A 200-g particle moving at 5.0 m/s on a frictionless horizontal surface collides with a 300-g particle initially at rest. After the collision the 300-g object has a velocity of 2.0 m/s at 45o below the direction of motion of the incoming particle. What is the velocity of the incoming particle after the collision? What percentage of the initial kinetic energy is lost in the collision?

Answer #1

here,

mass of 1 , m1 = 200 g = 0.2 kg

u1 = 5 i m/s

mass of 2 , m2 = 300 g = 0.3 kg

v2 = 2 * ( cos(45) i + sin(45) j) m/s

v2 = 1.41 i m/s + 1.41 j m/s

let the final velocity of particle be v1

using conservation of momentum

m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2

0.2 * 5 i = 0.2 * v1 + 0.3 * ( 1.41 i + 1.41 j)

solving for v1

v1 = 2.89 i m/s - 2.12 j m/s

the magnitude of velocity , |v1| = sqrt(2.89^2 + 2.12^2) = 3.58 m/s

theta = arctan(2.12/2.89) = 36.3 degree from orignal line of motion

the percentage of the initial kinetic energy is lost in the collision , % = ( 0.5 * m1 * u1^2 - 0.5 * m1 * v1^2 - 0.5 * m2 * v2^2) /(0.5 * m1 * v1^2) * 100

% = ( 0.2 * 5^2 - 0.2 * 3.58^2 - 0.3 * 2^2)/(0.2 * 5^2) * 100

% = 24.7 %

Mass #1 of 5.0 kg is moving at 2.0 m/s in the + x-direction, and
collides with mass #2 of 10. kg that is initially at rest, on a
frictionless horizontal surface. They collide elastically. Find
each velocity, after the collision.

A 2.0 kg object moving 5.0 m/s collides with and sticks to an
8.0 kg object initially at rest.
a). Calculate the total momentum of the system before the
collision.
b). Calculate the total kinetic energy of the system before the
collision.
c). Calculate the kinetic energy lost by the system as a result
of this collision.

A 500 g block, sliding on horizontal surface, collides head-on,
and sticks to, a 200 g block at rest. A) Find the speed of the
combination after the collision if the 500 g block was was moving
at 5.00 m/s before the collision. B) If the coefficient of kinetic
friction between the blocks and the floor is 0.315, how much
further with the blocks go before stopping?

A 0.30-kg puck, initially at rest on a frictionless horizontal
surface, is struck by a 0.20-kg puck that is initially moving along
the x-axis with a velocity of 8.5 m/s. After the
collision, the 0.20-kg puck has a speed of 5.1 m/s at an angle
of
θ = 53°
to the positive x-axis.
(a) Determine the velocity of the 0.30-kg puck after the
collision.
magnitude
m/s
direction
° from the positive x-axis
(b) Find the fraction of kinetic energy lost...

A 0.283 kg puck, initially at rest on a horizontal, frictionless
surface, is struck by a 0.108 kg puck moving initially along the x
axis with a speed of 2.37 m/s. After the collision, the 0.108 kg
puck has a speed of 1.37 m/s at an angle of 32◦ to the positive x
axis.
a. Determine the velocity of the 0.283 kg puck after the
collision.
b. Find the fraction F of kinetic energy lost in the
collision.

a 1.5 kg car (1) initially moving at 4.0 m/s to the right
collides with a 2.0 kg car (2) initially moving at 2.0 m/s to the
left. After the inelastic collision, car 1 is moving to the left at
1.2 m/s
A) What is the velocity and direction of car 2 after the
collision?
B) What is the change in total kinetic energy and the percentage
of initial kinetic energy remaining after the collision?

A 0.300-kg puck, initially at rest on a horizontal, frictionless
surface, is struck by a 0.200-kg puck moving initially along the x
axis with a speed of 2.00 m/s. After the collision, the 0.200- kg
puck has a speed of 1.00 m/s at an angle of θ = 53.0° to the
positive x axis. (a) Determine the velocity of the 0.300-kg puck
after the collision. (b) Find the fraction of kinetic energy lost
in the collision.

A 50.0 g toy car on a frictionless surface moving at constant
velocity (moving 1.0 m in 0.25 seconds) collides with and bounces
off of a stationary 100.0 g toy car. The 50.0 g glider bounces back
(moving 1.0 m in 2.0 seconds) and the 100.0 g glider continues
moving forward (going 1.0 m in 0.75 seconds).
a) Is momentum conserved in this collision? Show all of the work
required to determine this.
b) Is the collision completely elastic? Explain...

A 50.0 g toy car on a frictionless surface moving at constant
velocity (moving 1.0 m in 0.25 seconds) collides with and bounces
off of a stationary 100.0 g toy car. The 50.0 g glider bounces back
(moving 1.0 m in 2.0 seconds) and the 100.0 g glider continues
moving forward (going 1.0 m in 0.75 seconds).
a) Is momentum is conserved in this collision? Show all of the
work required to determine this.
b) Is the collision completely elastic?...

2. A 5.0 kg box is moving on a
horizontal surface at 0.50 m/s with a rope applying a constant
tension on the box of 100 N at an angle of 10° above the horizontal
(above the direction of motion). The coefficient of kinetic
friction between the box and the surface is 0.25. What is the speed
of the box after it has moved 25 cm?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 6 minutes ago

asked 13 minutes ago

asked 51 minutes ago

asked 57 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago