2. Under a constant force, a 10 kg ball increases its speed from 2.0 ms' to 7 ms' after covering 50 m. Calculate the force on the ball. 3. A stone is thrown vertically upwards from the top of a building 50 m tall with an initial velocity of 20.0 ms'. If the stone just misses the edge of the roof on its return, determine (a) The time taken by the stone to get to its maximum height. (b) The maximum height reached by the stone (c) The time at which the stone return to the point where it was thrown (d) The velocity of the stone at this instance (e) The velocity and position of the stone at t = 5 s. 4. (a) What is the difference between inertia and momentum? (b) A bullet of mass 40.0 g is fired from a gun with a nozzle velocity of 25.0 ms!. Calculate the recoil velocity of the gun whose mass is 5.0 kg.

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Chapter1: Units, Trigonometry. And Vectors
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1. 500 kg roller starts from a point A as shown in the diagram below. If throughout its travel
the average retarding force due to air friction on the wheel is 200 N. What is its speed at
points B and C given that |AB| = 100 m and |BC| = 50 m. How far will it travel at the
elevation of C before coming to rest?
to
20 m
5 m
2. Under a constant force, a 10 kg ball increases its speed from 2.0 ms’' to 7 ms' after
covering 50 m. Calculate the force on the ball.
3. A stone is thrown vertically upwards from the top of a building 50 m tall with an initial
velocity of 20.0 ms". If the stone just misses the edge of the roof on its return, determine
(a) The time taken by the stone to get to its maximum height.
(b) The maximum height reached by the stone
(c) The time at which the stone return to the point where it was thrown
(d) The velocity of the stone at this instance
(e) The velocity and position of the stone at t = 5 s.
4.
(a) What is the difference between inertia and momentum?
(b) A bullet of mass 40.0 g is fired from a gun with a nozzle velocity of 25.0 ms'. Calculate
the recoil velocity of the gun whose mass is 5.0 kg.
5. When an airplane lands on an aircraft carrier, it can be stopped by a huge steel “arresting
wire" stretched across the deck. A plane of mass 20 ton lands on the carrier at 50 ms1
and the wire has a stiffness k = 3.3 × 10º. Find
(a) The kinetic energy of the plane on landing
(b) The amount of the resting wire stretches (assuming the wire obeys Hooke's law).
6. An object moves along the x-axis according to the equation x(t) = (3.00t³ – 2.00t +
1.00) m. Determine
(a) The average speed between t = 2.00 s and t = 3.00 s,
(b) The instantaneous speed at t = 2.00 s and at t = 3.00 s,
(c) The average acceleration between t = 2.00 s and at t = 3.00 s,
(d) The instantaneous acceleration at t = 2.00 s and at t = 3.00 s.
Transcribed Image Text:1. 500 kg roller starts from a point A as shown in the diagram below. If throughout its travel the average retarding force due to air friction on the wheel is 200 N. What is its speed at points B and C given that |AB| = 100 m and |BC| = 50 m. How far will it travel at the elevation of C before coming to rest? to 20 m 5 m 2. Under a constant force, a 10 kg ball increases its speed from 2.0 ms’' to 7 ms' after covering 50 m. Calculate the force on the ball. 3. A stone is thrown vertically upwards from the top of a building 50 m tall with an initial velocity of 20.0 ms". If the stone just misses the edge of the roof on its return, determine (a) The time taken by the stone to get to its maximum height. (b) The maximum height reached by the stone (c) The time at which the stone return to the point where it was thrown (d) The velocity of the stone at this instance (e) The velocity and position of the stone at t = 5 s. 4. (a) What is the difference between inertia and momentum? (b) A bullet of mass 40.0 g is fired from a gun with a nozzle velocity of 25.0 ms'. Calculate the recoil velocity of the gun whose mass is 5.0 kg. 5. When an airplane lands on an aircraft carrier, it can be stopped by a huge steel “arresting wire" stretched across the deck. A plane of mass 20 ton lands on the carrier at 50 ms1 and the wire has a stiffness k = 3.3 × 10º. Find (a) The kinetic energy of the plane on landing (b) The amount of the resting wire stretches (assuming the wire obeys Hooke's law). 6. An object moves along the x-axis according to the equation x(t) = (3.00t³ – 2.00t + 1.00) m. Determine (a) The average speed between t = 2.00 s and t = 3.00 s, (b) The instantaneous speed at t = 2.00 s and at t = 3.00 s, (c) The average acceleration between t = 2.00 s and at t = 3.00 s, (d) The instantaneous acceleration at t = 2.00 s and at t = 3.00 s.
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