A gardener pushes a 17 kg lawnmower whose handle is tilted up 37∘
above horizontal. The lawnmower's coefficient of rolling friction is 0.18. How much power does the gardener have to supply to push the lawnmower at a constant speed of 1.5 m/s ? Assume his push is parallel to the handle.
I calculated it to be 56.3810 W, by calculating the Force of Friction and then multiplying that by the speed however Mastering Physics is not accepting it. Am I doing something wrong?
I typed in 56 as well and it marked it as incorrect.
To calculate the power required to push the lawnmower at a constant speed, you need to consider both the force of gravity and the force of friction.
Let's break down the steps to calculate the power:
1. Determine the force of gravity acting on the lawnmower.
The force of gravity can be calculated using the formula:
F_gravity = m * g
where m is the mass of the lawnmower and g is the acceleration due to gravity (approximately 9.8 m/s^2). Plugging in the values:
F_gravity = 17 kg * 9.8 m/s^2 = 166.6 N
2. Determine the force of friction.
The force of friction can be calculated using the formula:
F_friction = coefficient of friction * F_normal
where the normal force (F_normal) is equal to the force of gravity acting on the lawnmower (since it is on a flat surface). Plugging in the values:
F_friction = 0.18 * 166.6 N = 29.988 N
3. Determine the power.
Power is calculated by multiplying the force of friction by the velocity of the lawnmower:
Power = F_friction * velocity
Plugging in the values:
Power = 29.988 N * 1.5 m/s = 44.982 W
Therefore, the power required to push the lawnmower at a constant speed of 1.5 m/s is approximately 44.982 W.
Please double-check your calculations to ensure accuracy. If you still encounter issues, it's possible that there might be rounding errors or slight variations in the given values.
To calculate the power that the gardener needs to supply, you first need to determine the force of rolling friction acting against the lawnmower. Then, you can calculate the power using the formula:
Power = Force * Velocity
Let's break down the solution step by step:
1. Calculate the force of rolling friction (F_friction):
The force of rolling friction can be determined using the formula:
F_friction = coefficient of rolling friction * Normal force
In this case, the normal force is the weight of the lawnmower, which can be calculated as:
Normal force = mass * gravity
Given that the mass of the lawnmower is 17 kg and the acceleration due to gravity is approximately 9.8 m/s^2, you can calculate the normal force.
2. Calculate the force needed to maintain a constant speed:
To push the lawnmower at a constant speed of 1.5 m/s, the gardener needs to overcome the force of rolling friction. Therefore, the force needed to maintain the constant speed is equal to the force of rolling friction.
3. Calculate the power:
Finally, you can calculate the power using the formula:
Power = Force * Velocity
Substituting the force needed to maintain the constant speed and the given velocity of 1.5 m/s, you can calculate the power required by the gardener.
It's important to note that without the numerical values provided in the question, it is difficult to determine the exact error in your calculation. Therefore, it would be helpful to recheck your calculations with the provided values and equations to ensure accuracy.
haven't done the calculation yet, but your significant figures are incorrect
everything in the question is 2 sig fig
... your answer has six
just because your calculator shows it, doesn't mean it belongs