Question

A student pushes a loaded sled whose mass is 240 kg for a distance of 2.3 m over thefrictionless surface of a frozen lake. He exerts a horizontal force equal to 130 N. If the sled starts fromrest, what is its final velocity ?​

Answer 1

Solution :

⏭ Given:

✏ Mass of loaded sled = 240kg

✏ Distance travelled = 2.3m

✏ Magnitude of force = 130N

✏ Initial velocity of sled = 0

⏭ To Find:

✏ Final velocity of sled

⏭ Concept:

✏ First, we have to find out acceleration produced in sled, after that we can find final velocity of sled with the use of second equation of kinematics.

⏭ Calculation:

• Calculation of acceleration

$\implies \sf \: \red{F = m \times a} \\ \\ \implies \sf \: 130 = 240a \\ \\ \implies \sf \: a = \dfrac{130}{240} \\ \\ \implies \boxed{ \sf{ \blue{a = 0.54 \: m {s}^{ - 2}}}}$

• Calculation of final velocity

$\implies \sf \: \green{ {v}^{2} - {u}^{2} = 2as} \\ \\ \implies \sf \: {v}^{2} - {0}^{2} = 2 \times 0.54 \times 2.3 \\ \\ \implies \sf \: {v}^{2} = 2.484 \\ \\ \implies \sf \: v = \sqrt{2.484} \\ \\ \implies \underline{ \boxed{ \bold{ \sf{ \large{ \orange{v = 1.58 \: mps}}}}}} \: \gray{ \bigstar}$