In Figure 4.43, a 3 kg block slides at a constant velocity of 7 m.s-l along a horizontal surface. It then strikes a rough surface, causing it to experience a constant frictional force of 30 N. The block slides 2m under the influence of this frictional force before it moves up a frictionless ramp inclined at an angle of 20° to the horizontal, as shown. 7 m.s-1 3 kg 2m Fig 4.43: A block move a) Use the work-energy theorem to show by calculat

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Chapter1: Units, Trigonometry. And Vectors
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d) Use the work-energy theorem to calculate the initial velocity of the
skateboarder near the top of the slope.
In Figure 4.43, a 3 kg block
slides at a constant velocity
of 7 m.s- along a horizontal
surface. It then strikes a
rough surface, causing it to
experience a constant
frictional force of 30 N. The
block slides 2 m under the
influence of this frictional
force before it moves up a
frictionless ramp inclined at
an angle of 20° to the horizontal, as shown.
3 kg
7 m.s-1
3 kg
of
20
2 m
Fig 4.43: A block moves horizontally and then up a slope.
a) Use the work-energy theorem to show by calculation that the speed of the
block at the bottom of the ramp is 3 m.s-!.
b) Draw a free-body diagram to show the forces acting on the block while the
block is sliding up the ramp. Label any relevant angles.
c) Calculate the distance (d) that the block slides up the ramp before coming
to rest.
7. A crate of mass 70 kg slides down a rough incline that makes
in Figure 4.44,
Transcribed Image Text:uie d) Use the work-energy theorem to calculate the initial velocity of the skateboarder near the top of the slope. In Figure 4.43, a 3 kg block slides at a constant velocity of 7 m.s- along a horizontal surface. It then strikes a rough surface, causing it to experience a constant frictional force of 30 N. The block slides 2 m under the influence of this frictional force before it moves up a frictionless ramp inclined at an angle of 20° to the horizontal, as shown. 3 kg 7 m.s-1 3 kg of 20 2 m Fig 4.43: A block moves horizontally and then up a slope. a) Use the work-energy theorem to show by calculation that the speed of the block at the bottom of the ramp is 3 m.s-!. b) Draw a free-body diagram to show the forces acting on the block while the block is sliding up the ramp. Label any relevant angles. c) Calculate the distance (d) that the block slides up the ramp before coming to rest. 7. A crate of mass 70 kg slides down a rough incline that makes in Figure 4.44,
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