Consider a man sitting on the cart that is moving with initial and final velocities .
Which has 4.54 m/s as the resulting change in speed of the cart?
Consider a man sitting on the cart that is moving with initial and final velocities .
Which has 4.54 m/s as the resulting change in speed of the cart?
Which has 4.54 m/s as the resulting change in speed of the cart?
A
(I)(iii)(L)
B
(IV)(i)(M)
C
(II)(iv)(K)
D
(I)(i)(J)
Text Solution
Verified by Experts
The correct Answer is:
D
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Momentum is the ability of imparting or tending to motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula, vecp=mvecv . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10m//s . After travelling certain distance, a boy jumps from the cart with a speed of 2m//s with respect to the cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. The velocity of the cart, just after the second boy has jumped out of it, is
Knowledge Check
A man is sitting in a train which is moving with a velocity of 60 km/hour. His speed with respect to the train is:
A man is sitting in a train which is moving with a velocity of 60 km/hour. His speed with respect to the train is:
A
10/3 m/s
B
60 m/s
C
infinite
D
zero
Momentum is the ability of imparting or tending to motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula, vecp=mvecv . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10m//s . After travelling certain distance, a boy jumps from the cart with a speed of 2m//s with respect to the cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. The speed of the cart after second boy jumps will
Momentum is the ability of imparting or tending to motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula, vecp=mvecv . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10m//s . After travelling certain distance, a boy jumps from the cart with a speed of 2m//s with respect to the cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. The speed of the cart after second boy jumps will
A
change along its initial direction
B
will not change along its initial direction
C
will change in opposite direction to that of initial direction
D
can't be calculated
Momentum is the ability of imparting or tending to motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula, vecp=mvecv . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10m//s . After travelling certain distance, a boy jumps from the cart with a speed of 2m//s with respect to the cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. Which of the following statement is true?
Momentum is the ability of imparting or tending to motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula, vecp=mvecv . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10m//s . After travelling certain distance, a boy jumps from the cart with a speed of 2m//s with respect to the cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. Which of the following statement is true?
A
Linear momentum can't be conserved as boys are jumping out.
B
Even after jumping, momentum of the system is conserved.
C
Momentum is conserved between the jumping of first and second boy.
D
Momentum is said to be conserved as no external force is acting.
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Momentum is the ability of imparting or tending to import motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula vec(p)= m vec(v) . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10 m/s. After travelling certain dfistance a boy jumps from the cart with a speed of 2 m/s with respect to cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. Answer the following questions. The speed of the cart after first boy has jumped out is
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