A 70 kg man standing on ice throws a 3 kg body horizontally at 8 m / s. The friction coeffici

step 1 Our question is a man, a 70 -kgy man standing on an ice, throws a 3 -KG body horizontally at 8 m

A 70 kg man standing on ice throws a 3 kg body...

A $70 \mathrm{~kg}$ man standing on ice throws a $3 \mathrm{~kg}$ body horizontally at $8 \mathrm{~m} / \mathrm{s}$. The friction coefficient between the ice and his feet is $0.02$. The distance, the man slips is: (a) $0.3 \mathrm{~m}$ (b) $2 \mathrm{~m}$ (c) $1 \mathrm{~m}$ (d) $\infty$

A $70 \mathrm{~kg}$ man standing on ice throws a $3 \mathrm{~kg}$ body horizontally at $8 \mathrm{~m} / \mathrm{s}$. The friction coefficient between the ice and his feet is $0.02$. The distance, the man slips is:
(a) $0.3 \mathrm{~m}$
(b) $2 \mathrm{~m}$
(c) $1 \mathrm{~m}$
(d) $\infty$

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Key Concepts

Friction and Normal Force

Friction is a force that opposes the relative motion between surfaces in contact. In this context, kinetic friction on the ice is determined by multiplying the friction coefficient with the normal force (which for a horizontal surface equals the product of mass and gravitational acceleration). This friction force provides the deceleration that eventually brings the moving man to a stop.

Kinematics of Constant Acceleration

Kinematics deals with the motion of objects and the relationships between displacement, velocity, acceleration, and time. When an object decelerates under a constant frictional force, its stopping distance can be calculated using equations that connect its initial velocity, acceleration (in this case, negative due to friction), and displacement. This approach is key to determining how far the man slips before stopping.

Conservation of Momentum

In an isolated system, the total linear momentum remains constant if no external forces act on it. When the man throws the body, the momentum imparted to the thrown body results in an equal and opposite momentum for the man, allowing calculation of his recoil velocity. This principle is widely used in physics to analyze interactions where forces act internally between objects.

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