Question

A monkey of mass 50 kg climbs on a rope which can withstand the tension (T) of 350 N. If monkey initially climbs down with an acceleration of 4 m/s² and then climbs up with an acceleration of 5m/s². Choose the correct option (g = 10 m/s²).

Options

• T = 700 N while climbing upward.

• T = 350 N while goint downward.

• Rope will break while climbing upward.

• Rope will break while going downward.

Answer 1

Rope will break while climbing upward.

Explanation:

Given: Mass (m) = 50 kg

Acceleration while climbs down (a₁) = 4 m/s²

Acceleration while climbs up (a₂) = 5 m/s²

Gravity (g) = 10 m/s²

When the monkey climbs down with an acceleration (a₁), the tension (T) in the rope is:

T = m(g − a)

= 50(10 − 4)

= 50(6)

= 300 N

When the monkey climbs up with an acceleration (a₂), the tension (T) in the rope increases.

T = m(g + a)

= 50(10 + 5)

= 50(15)

= 750 N

Since 750 N is much greater than the breaking strength (350 N), the rope will snap.