A 2.9-kg bucket is lifted upward with a force of 46N against the force of gravity. Calculate it’s upward acceleration, ignoring all frictional forces.
46-mg=ma
46-2.9*9.8=2.8 a
a= (46/2.8 -9.8)=6.63m/s^2 check that
To calculate the upward acceleration of the bucket, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this problem, the net force acting on the bucket is the force applied to lift it upward (46N) minus the force of gravity acting downward on the bucket.
The force of gravity can be calculated using the formula:
force of gravity = mass x acceleration due to gravity
Given that the mass of the bucket is 2.9 kg and acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the force of gravity:
force of gravity = 2.9 kg x 9.8 m/s^2 ≈ 28.42 N
Now, we can calculate the net force acting on the bucket:
net force = applied force - force of gravity
= 46 N - 28.42 N
= 17.58 N
Finally, dividing the net force by the mass of the bucket will give us the upward acceleration:
acceleration = net force / mass
= 17.58 N / 2.9 kg
≈ 6.1 m/s^2
Therefore, the upward acceleration of the bucket is approximately 6.1 m/s^2.
To calculate the upward acceleration of the bucket, we can use Newton's second law of motion. The formula is:
F = m * a
Where:
F is the net force acting on the object,
m is the mass of the object, and
a is the acceleration of the object.
In this case, the upward force applied to the bucket against gravity is 46 N, and the mass of the bucket is 2.9 kg. We want to find the upward acceleration, so we rearrange the formula:
a = F / m
Plugging in the given values, we get:
a = 46 N / 2.9 kg
Calculating this expression, we find that the upward acceleration of the bucket is approximately 15.86 m/s^2.