An impulse of to the west is required to decrease the speed of the boat from east to east.
Further explanation:
When a force acted upon an object for a very small time, is called impulse. Force is a rate of change of momentum with respect to time. Therefore if momentum associated with an object is changed in a very short time, the force exerted on the object is called the impulse.
Given:
Mass of the boat is .
Initial speed of the boat is to the east.
Final velocity of the boat is to the east.
Concept:
Let’s assume east direction as the positive direction of x axis.
Write the expression for impulse
Here, is the impulse force, is the change of momentum, is the time and is the mass of the boat.
In the above expression is a constant, therefore above expression can be rewritten as
…… (1)
Here, is the change in the velocity of the boat.
Write the expression for change in velocity
…… (2)
Here, is the final velocity of boat and is the initial velocity of the boat.
Substitute for and for in equation (2).
Substitute for and for in equation (1).
Here, indicate that the impulse acts in opposite of east direction.
Thus, an impulse of to the west is required to decrease the speed of the boat from east to east.
Learn More:
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2. The maximum force to be exerted on a wooden crate to move it with acceleration brainly.com/question/10470406
3. Conservation of momentum during collision brainly.com/question/9484203
Answer Details:
Grade: High School
Subject: Physics
Chapter: Force
Keywords:
Boat, mass, 115 kg, drifts, river, 13 m/s, 13 meter per second, east, impulse, decrease, speed, 10 m/s, 10 meter per second, 345 Ns, west, 3.45 times 10^2 Ns.