8 A car of mass 400 kg is approaching a junction and needs to stop in 40 m. It is travelling at 15 ms-¹ and there is air resistance of 1200 N. Determine whether the car needs to brake or accelerate and find the size of the relevant force. 0.1kg is proiected vertically unwards from ground level with spe do.

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Chapter1: Units, Trigonometry. And Vectors
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8

increases to 1000 N. Find the speed at which the train leaves the tunnel.
the train enters a horizontal tunnel 400 m long. In the tunnel air resistance
ng at 48 ms
M 6
A submarine has mass 20 000 tonnes. With the engines on full power it can travel at 11ms on the surface and
14 ms underwater.
a
When at maximum speed on the surface, the engines are turned off and it takes 4 km to come to a stop.
Find the resistance from the water on the submarine.
b
Assuming the same resistance from the water, find the distance it would take to stop from maximum
speed underwater when the engines are turned off.
c
Why is it not a reasonable assumption that the resistance underwater is the same as the resistance when
the submarine is at the surface?
4.0 borpsjong
7
A diver of mass 60 kg dives from a height of 10 m into a swimming pool. Through the air there is resistance of
50 N.
a Find the speed at which the diver enters the water.
b
Once in the water, the water provides an upwards force of 2000 N. Find the greatest depth in the water the
diver reaches.
8
A car of mass 400 kg is approaching a junction and needs to stop in 40 m. It is travelling at 15 ms¹ and there is air
resistance of 1200 N. Determine whether the car needs to brake or accelerate and find the size of the relevant force.
9
A ball of mass 0.1kg is projected vertically upwards from ground level with speed 9 ms ¹. It reaches a height of
3 m. There is air resistance against the motion.
a
Find the size of the air resistance.
b
Find the speed with which the ball hits the ground.
Transcribed Image Text:increases to 1000 N. Find the speed at which the train leaves the tunnel. the train enters a horizontal tunnel 400 m long. In the tunnel air resistance ng at 48 ms M 6 A submarine has mass 20 000 tonnes. With the engines on full power it can travel at 11ms on the surface and 14 ms underwater. a When at maximum speed on the surface, the engines are turned off and it takes 4 km to come to a stop. Find the resistance from the water on the submarine. b Assuming the same resistance from the water, find the distance it would take to stop from maximum speed underwater when the engines are turned off. c Why is it not a reasonable assumption that the resistance underwater is the same as the resistance when the submarine is at the surface? 4.0 borpsjong 7 A diver of mass 60 kg dives from a height of 10 m into a swimming pool. Through the air there is resistance of 50 N. a Find the speed at which the diver enters the water. b Once in the water, the water provides an upwards force of 2000 N. Find the greatest depth in the water the diver reaches. 8 A car of mass 400 kg is approaching a junction and needs to stop in 40 m. It is travelling at 15 ms¹ and there is air resistance of 1200 N. Determine whether the car needs to brake or accelerate and find the size of the relevant force. 9 A ball of mass 0.1kg is projected vertically upwards from ground level with speed 9 ms ¹. It reaches a height of 3 m. There is air resistance against the motion. a Find the size of the air resistance. b Find the speed with which the ball hits the ground.
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