Question

A soccer ball is kicked from the top of one building with a height of H1 = 30.3 m to another building with a height of H2 = 13.4 m. The ball is kicked with a speed of v0 = 15.1 m/s at an angle of θ = 80.0° with respect to the horizontal. The mass of a size 5 soccer ball is m = 450 g. What is the speed of the soccer ball, when it lands on the roof of the second bulding? The soccer ball is kicked without a spin. Neglect air resistance.

Answer #1

As the ball moves under the effect of gravitational force only, which is a conservative force, total mecahnical energy of ball remains constant.

Sum of kinetic and potential energies of ball when kicked is equL to sum of sum of these energies on landing the other roof.

Hence gain in kinetic energy is equal to loss in potential energy.

Let speed of ball on landing on the roof is v

m = mass of ball

m(v^{2}-v_{0}^{2})/2 =
mg(h_{1}-h_{2})

v^{2}= 2g(h_{1}-h_{2}) +
v_{0}^{2}

v^{2}= 2 ×9.8×(30.3-13.4) + (15.1)^{2}= 559.25
m^{2}s^{-2}

v= 23.65 ms^{-1}

A soccer ball is kicked from the top of one building with a
height of H1 = 29.2 m to another building with a height of H2 =
10.4 m. (It is not a very smart idea to play soccer on the roof of
tall buildings.) The ball is kicked with a speed of v0 = 14.7 m/s
at an angle of θ = 73.5° with respect to the horizontal. The mass
of a size 5 soccer ball is m...

A boy standing on top of a building throws a small ball from a
height of H1 = 37.0 m. (See figure.) The ball leaves
with a speed of 24.5 m/s, at an angle of 53.0 degrees from the
horizontal, and lands on a building with a height of H2
= 16.0 m. Calculate for how long the ball is in the air. (Neglect
air friction, and use g = 9.81 m/s2.)

A boy standing on top of a building throws a small ball from a
height of H1 = 37.0 m. (See figure.) The ball leaves
with a speed of 24.5 m/s, at an angle of 53.0 degrees from the
horizontal, and lands on a building with a height of H2
= 16.0 m. Calculate for how long the ball is in the air. (Neglect
air friction, and use g = 9.81 m/s2.)

A
soccer ball is kicked with an initial speed of 15 m/s at an angle
of 53 degrees above the horizontal from the top of a building. If
air resistance is negligible then how far does the ball travel
horizontally from the edge of building by the time it hits the
ground ?

A soccer ball is kicked with an initial horizontal velocity of
15 m/s and an initial vertical velocity of 15 m/s.
What is the initial speed of the ball?
What is the initial angle θθ of the ball with respect to the
ground?
What is the maximum height the ball goes above the ground?
How far from where it was kicked will the ball land?
What is the speed of the ball 0.7 seconds after it was
kicked?
How high...

a ball of mass 2kg is kicked from the edge of the flat
roof of a small building. the initial velocity of the ball makes an
angle of 30° with the horizontal, and the magnitude of the initial
velocity is 1 m/s. If the ball is moving at a speed of 9 m/s and it
hits the ground, how tall is the building?

A 0.415-kg soccer ball is kicked at an initial speed of 32.0 m/s
at an angle of 40.0° to the horizontal. What is the kinetic energy
of the soccer ball when it has reached the apex of its
trajectory?
J

A ball is shot from the top of a building with an initial
velocity of 16 m/s at an angle θ = 45 ∘ above the horizontal.
a. What are the x and y components of the initial velocity?
b. If a nearby building is the same height and 55 m away, how
far below the top of the building will the ball strike the nearby
building?

2. (15pts, 5pts
each) A ball is thrown from the top of a building that is
H = 40 m height. It has an initial velocity
v0 that is at angle
of = 53° below the horizontal direction, as shown in the
below Figure. The ball hits the ground t = 2.0 s after being
thrown. You may neglect air resistance.
a) Find the magnitude of the initial velocity
v0 of the ball.
b) Find the velocity of the ball just...

A soccer ball is kicked from the ground into The air with a
velocity of 25 m/s at 45 degrees above horizontal. To the nearest
meter, how high did the ball fly? How far did the ball travel
before hitting the ground again assuming there was no wind
resistance? (round to the nearest meter)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 39 minutes ago

asked 47 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago