(A) $(1)$ Work done by the applied force $W_f = F \cdot s = 60 \times 5 = 300 \ J$.$(2)$ Potential energy $U = mgh = 5 \times 9.8 \times 5 = 245 \ J$.

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$300 \ J, 245 \ J, 55 \ J, 4.69 \ m/s$

(A) $(1)$ Work done by the applied force $W_f = F \cdot s = 60 \times 5 = 300 \ J$.$(2)$ Potential energy $U = mgh = 5 \times 9.8 \times 5 = 245 \ J$.$(3)$ By the Work-Energy Theorem,the change in kinetic energy is equal to the net work done: $K = W_{net} = W_f + W_g = 300 - 245 = 55 \ J$.$(4)$ Since $K = \frac{1}{2}mv^2$,we have $55 = \frac{1}{2} \times 5 \times v^2$. Thus,$v^2 = \frac{55 \times 2}{5} = 22$. Therefore,$v = \sqrt{22} \approx 4.69 \ m/s$.

Class 11 Physics Work, Energy, Power and Collision Mix Examples-Work, Energy, Power and Collision

Medium

$A$ block of mass $5 \ kg$ is lifted to a height of $5 \ m$ by a force of $60 \ N$. Find:
$(1)$ Work done by the force.
$(2)$ Potential energy of the block at $5 \ m$.
$(3)$ Kinetic energy of the block at $5 \ m$.
$(4)$ Velocity of the block at $5 \ m$. (Take $g = 9.8 \ m/s^2$)

A
$300 \ J, 245 \ J, 55 \ J, 4.69 \ m/s$
B
$200 \ J, 245 \ J, 50 \ J, 4.69 \ m/s$
C
$150 \ J, 150 \ J, 50 \ J, 4.69 \ m/s$
D
$300 \ J, 245 \ J, 100 \ J, 10.69 \ m/s$

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Work, Energy, Power and Collision

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Mix Examples-Work, Energy, Power and Collision

Name the instrument used to measure the coefficient of restitution of a material and explain why frictional force is a non-conservative force.

Easy

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The friction coefficient between the horizontal surface and each of the blocks shown in the figure is $\mu = 0.2$. The collision between the blocks is perfectly elastic. What is the separation between the blocks when they come to rest? (in $cm$)

Difficult

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State whether the following statements are true or false:
$(a)$ Power is the vector product of force and velocity.
$(b)$ $1\,kg\,m = 9.8\,J$
$(c)$ When a teacher rubs a blackboard with a duster,they do no work.
$(d)$ Kinetic energy can be negative.

Medium

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$A$ rigid body of mass $4 \ kg$ initially at rest moves under the action of an applied horizontal force of $18 \ N$ on a table with a coefficient of kinetic friction of $0.2$. The work done by the applied force on the body in $10 \ s$ will be $.... \ J$.

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$A$ ball is thrown vertically downwards from a height of $20 \, m$ with an initial velocity $v_0$. It collides with the ground,loses $50\%$ of its energy in the collision,and rebounds to the same height. The initial velocity $v_0$ is .................... $m/s$ (Take $g = 10 \, m/s^2$)

DifficultAIPMT 2015

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$A$ block of mass $5 \ kg$ is lifted to a height of $5 \ m$ by a force of $60 \ N$. Find:$(1)$ Work done by the force.$(2)$ Potential energy of the block at $5 \ m$.$(3)$ Kinetic energy of the block at $5 \ m$.$(4)$ Velocity of the block at $5 \ m$. (Take $g = 9.8 \ m/s^2$)

Similar Questions

Name the instrument used to measure the coefficient of restitution of a material and explain why frictional force is a non-conservative force.

The friction coefficient between the horizontal surface and each of the blocks shown in the figure is $\mu = 0.2$. The collision between the blocks is perfectly elastic. What is the separation between the blocks when they come to rest? (in $cm$)

State whether the following statements are true or false:$(a)$ Power is the vector product of force and velocity.$(b)$ $1\,kg\,m = 9.8\,J$$(c)$ When a teacher rubs a blackboard with a duster,they do no work.$(d)$ Kinetic energy can be negative.

$A$ rigid body of mass $4 \ kg$ initially at rest moves under the action of an applied horizontal force of $18 \ N$ on a table with a coefficient of kinetic friction of $0.2$. The work done by the applied force on the body in $10 \ s$ will be $.... \ J$.

$A$ ball is thrown vertically downwards from a height of $20 \, m$ with an initial velocity $v_0$. It collides with the ground,loses $50\%$ of its energy in the collision,and rebounds to the same height. The initial velocity $v_0$ is .................... $m/s$ (Take $g = 10 \, m/s^2$)

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$A$ block of mass $5 \ kg$ is lifted to a height of $5 \ m$ by a force of $60 \ N$. Find:
$(1)$ Work done by the force.
$(2)$ Potential energy of the block at $5 \ m$.
$(3)$ Kinetic energy of the block at $5 \ m$.
$(4)$ Velocity of the block at $5 \ m$. (Take $g = 9.8 \ m/s^2$)

State whether the following statements are true or false:
$(a)$ Power is the vector product of force and velocity.
$(b)$ $1\,kg\,m = 9.8\,J$
$(c)$ When a teacher rubs a blackboard with a duster,they do no work.
$(d)$ Kinetic energy can be negative.