Hi there!
Since the string is light and there is no friction in the pulley, the acceleration of the system is equal to the acceleration of both blocks.
We can begin by summing the forces of each block:
Block on incline:
- Force of gravity (in the negative direction away from the acceleration)
- Force of Tension
∑F = -M₁gsinФ + T
Block hanging:
- Force of gravity (Positive, in direction of acceleration)
- Force of Tension (Negative, opposite from acceleration)
∑F = M₂g - T
Sum both of these net forces for each block:
∑Fт = -M₁gsinФ + T - T + M₂g
∑Fт = -M₁gsinФ + M₂g
Divide by the mass to solve for acceleration:
Plug in the given values:
Answer:
313.6N
Explanation:
Given parameters;
Mass of the body = 50kg
Coefficient of friction = 0.64
Acceleration due to gravity = 9.81m/s²
Unknown:
Minimum force needed to move the body = ?
Solution:
To move this body, the minimum force must overcome the frictional force. So, the value of force that equals to that of the frictional force will set the body in motion.
Frictional force = Umg
U is the coefficient of friction
m is the mass
g is the acceleration due to gravity
Now insert the parameters and solve;
Frictional force = 0.64 x 50 x 9.8 = 313.6N
Answer:
Explanation:
The troposphere is hotter near the Earth's surface because heat from the Earth warms this air. ... Mesosphere: As the altitude increases, the air temperature decreases. The Mesosphere, like the troposphere layer, has a decrease in temperature with altitude because of the decreases in the density of the air molecules.
Answer:
(iv), (v), (vi) would be incorrect.
Explanation:
(iv) Force isn't transferred from one colliding object to another, but momentum can be.
(v) An object doesn't stop immediately a force stops acting on it. Think of a thrown ball.
(vi) For an object not to move, it means that the net force on the object is zero, and not necessarily that there are no forces acting on the object. For example, an object could be pushed on one side, and be pushed on the other side with an equal force in the opposite direction. The forces would cancel each other and the net force would be zero.
The rest should be correct.
Answer:
12.32 m/s
Explanation:
Using the formula of maximum height of a projectile,
H = u²sin²Ф/2g................... Equation 1
Where H = maximum height, u = initial velocity, Ф = angle of projection, g = acceleration due to gravity
make u the subject of the equation
u = √(2Hg/sin²Ф)............ Equation 2
Given: H = 2.3 m, Ф = 33°, g = 9.8 m/s²
Substitute into equation 2
u = √[(2×2.3×9.8)/sin²33°]
u =√ [45.08/(0.545)²]
u = 45.08/0.297
u = √(151.785)
u = 12.32 m/s