Answer:
5m/s²
Explanation:
Given parameters:
Mass of wagon = 10kg
Force of pull = 70N
Frictional force = 20N
Unknown:
Acceleration of the wagon = ?
Solution:
Frictional force is a force that opposes motion.
The net force is given as:
Net force = mass x acceleration
Force of pull - Frictional force = mass x acceleration
Insert the parameters and solve;
70 - 20 = 10 x acceleration
50 = 10 x acceleration
Acceleration = 5m/s²
Answer:
the strength of the magnetic field is 3 x 10⁻⁵ T
Explanation:
Given;
velocity of the cosmic ray, v = 5 x 10⁷ m/s
force experienced by the ray, f = 1.7 x 10⁻¹⁶ N
angle between the ray's velocity and the magnetic field, θ = 45⁰
The strength of the magnetic field is calculated as;

Therefore, the strength of the magnetic field is 3 x 10⁻⁵ T
For Pascal's law, the pressure is transmitted with equal intensity to every part of the fluid:

which becomes

where

is the force on the first piston

is the area of the first piston

is the force on the second piston

is the area of the second piston
If we rearrange the equation and we use these data, we can find the intensity of the force on the second piston:
At 8:00 pm, the velocity of the storm is 55 mi northeast. Assuming that the direction is exactly northeast, the angle is 45°
At 11:00 pm, the velocity is 75 mi north. The angle is 90°
In vector form
55 ∠ 45°
and
75 ∠ 90°
The magnitude and direction of the average velocity is
(55 ∠ 45° + 75 ∠ 90° ) / 3
Angular acceleration is simply the ratio of the Torque
over the rotation inertia, that is:
Angular acceleration = Torque / Rotational inertia
So substituting the values:
Angular acceleration = 2.4 N m / 4.0 kg m2
<span>Angular acceleration = 0.7 rad/s^2</span>