The child on a swing can be modeled as a simple pendulum. The period of a simple pendulum is given by
Answer:
- The total distance traveled is 28 inches.
- The displacement is 2 inches to the east.
Explanation:
Lets put a frame of reference in the problem. Starting the frame of reference at the point with the 0-inch mark, and making the unit vector pointing in the west direction, the ant start at position
Then, moves to
so, the distance traveled here is
after this, the ant travels to
so, the distance traveled here is
The total distance traveled will be:
The displacement is the final position vector minus the initial position vector:
This is 2 inches to the east.
Fc=mv^2/r
Fc= 2000kg*(25m/s)^2/(80m) = 15625N
Hope this helps! Thank you!
Answer:
Walking burns up more energy,1740000J
Explanation:
Given that the displacement is 5.0km, and running at 10km/h and uses, walking at 3km/hr and uses 290watts:
Energy consumption for running is calculated as:
Energy consumption for walking is calculated as:
Walking is a slower process hence the need for more energy over longer periods raltive to running the same distance.
Hence walking burns more energy; 1,740,000J. It burns more because you walk for a greater period of time.
Answer:
Explanation:
The balance condition, to keep the gate from moving, requires that the net torque be zero, this is, the torques on both sides of the gate must be equal.
- Torque equation: τ = F × d
a) <u>Torque applied by one of the children:</u>
b) <u>Torque applied by the second child</u>:
c) <u>Equilibrium condition</u>:
- τ₁ = τ₂
- 170 N × 0.590m = F × 0.430m
- F = 170 N × 0.590 m / 0.430 m = 233 N ← answer