A ball is traveling with uniform translatory motion. This means that:

 1 it is at rest. 2 the path can be a straight line or circular and the ball travels with uniform speed. 3 all parts of the ball have the same velocity (magnitude and direction) and the velocity is constant. 4 the center of the ball moves with constant velocity and the ball spins about its center uniformly.

Subtopic:  Newton's Laws |
63%
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A cricket ball of mass 150 g has an initial velocity $$\small {u = \left(3 \hat{i} + 4 \hat{j} \right) \text {ms}^{- 1}}$$ and a  final velocity $$\small {v = - \left( 3 \hat{i} + 4 \hat{j} \right) \text{ms}^{- 1}}$$, after being hit. The change in momentum (final momentum-initial momentum) is (in kgm/s)
1. $$\text {zero}$$
2. $$-\left ( 0.45\hat{i}+0.6\hat{j} \right )$$
3. $$-\left ( 0.9\hat{i}+1.2\hat{j} \right )$$
4. $$-5\left ( \hat{i} +\hat{j}\right )$$

Subtopic:  Newton's Laws | Application of Laws |
73%
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In the previous problem (3), the magnitude of the momentum transferred during the hit is:
1. zero
2. 0.75 kg-ms–1
3. 1.5 kg-ms–1
4. 14 kg-ms–1

Subtopic:  Newton's Laws | Application of Laws |
69%
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Conservation of momentum in a collision between particles can be understood from:

 1 conservation of energy 2 newton's first law only 3 newton's second law only 4 both Newton's second and third law
Subtopic:  Newton's Laws | Application of Laws |
51%
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A hockey player is moving northward and suddenly turns westward at the same speed to avoid an opponent. The force that acts on the player is:

 1 frictional force along westward 2 muscle force along southward 3 frictional force along south-West 4 muscle force a south-West

Subtopic:  Newton's Laws | Application of Laws |
67%
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A body of mass $$2~\text{kg}$$ travels according to the law $$x \left( t \right) = pt + qt^2+ rt^3$$ where, $$p = 3 ~\text{ms }^{−1 },$$ $$q = 4 ~\text{ms }^{−2}$$ and $$r = 5 ~\text{ms }^{−3}$$. The force acting on the body at $$t = 2 ~\text{s }$$ is

1. $$136~\text{N}$$
2. $$134~\text{N}$$
3. $$158~\text{N}$$
4. $$68~\text{N}$$
Subtopic:  Newton's Laws | Application of Laws |
66%
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A body with a mass of $$5$$ kg is acted upon by a force $$\vec{F}=\left ( -3\hat{i} +4\hat{j}\right )$$ N. If its initial velocity at $$t=0$$ is $$\vec{v}=\left ( 6\hat{i} -12\hat{j}\right )$$ m/s, the time at which it will just have a velocity along the Y-axis is:
1. never
2. $$10$$ s
3. $$2$$ s
4. $$15$$ s

Subtopic:  Newton's Laws |
56%
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A car of mass $$m$$ starts from rest and acquires a velocity along the east, $$v=v\mathrm{\hat{i}}(v>0)$$ in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is:

 1 $$mv/2$$ eastward and is exerted by the car engine. 2 $$mv/2$$ eastward and is due to the friction on the tires exerted by the road. 3 more than $$mv/2$$ eastward exerted due to the engine and overcomes the friction of the road. 4 $$mv/2$$ exerted by the engine.

Subtopic:  Newton's Laws | Application of Laws |
54%
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The motion of a particle of mass $$m$$ is given by $$x=0$$ for $$t<0 ~\text s$$, $$x(t)=A~\text {sin}~4\pi t$$ for $$0<t<(1/4) \text s ~(A>0)$$, and $$x=0$$ for $$t>(1/4) ~\text s$$. Then:

 (a) The force at $$t=(1/8) ~\text s$$ on the particle is $$-16 \pi^2\text{Am}$$ (b) The particle is acted upon by an impulse of magnitude $$4 \pi^2 \text{Am}$$ at $$t=0 ~\text s$$ and $$t=(1/4) ~\text s$$ (c) The particle is not acted upon by any force (d) The particle is not acted upon by a constant force (e) There is no impulse acting on the particle

Which of the following statement/s is/are true?

 1 (a, c, d, e) 2 (a, c) 3 (b, c, d) 4 (a, b, d)
Subtopic:  Newton's Laws | Application of Laws |
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In the figure, the coefficient of friction between the floor and body $$B$$ is $$0.1.$$ The coefficient of friction between bodies $$B$$ and $$A$$ is $$0.2.$$ A force $$F$$ is applied as shown on $$B.$$ The mass of $$A$$ is $$rn/2$$ and of $$B$$ is $$m.$$

 (a) The bodies will move together if $$F = 0.25\text{mg}$$ (b) The $$A$$ will slip with $$B$$ if $$F = 0.5\text{mg}$$ (c) The bodies will move together if $$F = 0.5\text{mg}$$ (d) The bodies will be at rest if $$F = 0.1\text{mg}$$ (e) The maximum value of $$F$$ for which the two bodies will move together is $$0.45\text{mg}$$

Which of the following statement(s) is/are true?
1. (a), (b), (d), (e)
2. (a), (c), (d), (e)
3. (b), (c), (d)
4. (a), (b), (c)

Subtopic:  Application of Laws | Friction |
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