Answer:
It's centripetal acceleration is 301.7 m/s²
Explanation:
The formula to be used here is that of the centripetal acceleration which is
ac = rω²
where ac is the centripetal acceleration = ?
ω is the angular velocity = 3 revolutions per second is to be converted to radian per second: 3 × 2π = 3 × 2 × 3.14 = 18.84 rad/s
r is the radius = 0.85 m
ac = 0.85 × 18.84²
ac = 301.7 m/s²
It's centripetal acceleration is 301.7 m/s²
F=ma (Newton's second law of motion).
Then,
a = F/m = Uk*mg/m = Uk*g = 0.0751*9.81 = 0.737 m/s^2 (should be negative since a deceleration is expected).
v = Sqrt (u^2-2ad), Where v = final velocity, u=initial velocity, a = acceleration, d = distance moved.
Therefore,
v^2-u^2 = -2ad => d = (v^2-u^2)/-2a = (2^2-3.18^2)/-2*0.737 = 4.15 m
Explanation:
Draw free body diagrams for each mass.
There are 3 forces on the disk: weight force mg pulling down, normal force N pushing up, and tension force T pulling right.
There are 2 forces on the cylinder: tension force T pulling up and weight force 3mg pulling down.
Sum of forces on the disk in the centripetal direction:
∑F = ma
T = m v²/r
Sum of forces on the cylinder in the vertical direction:
∑F = ma
T − 3mg = 0
T = 3mg
Substituting:
3mg = m v²/r
3gr = v²
v = √(3gr)
Plug in values:
v = √(3 × 10 m/s² × 0.800 m)
v = √24 m/s
v ≈ 4.90 m/s
Answer:
LT⁻¹
Explanation:
Assuming the given expression is
x = A t³ + B t.........(1)
x is the distance
we have to calculate dimension of dx/dt
from expression (1)
x = A t³
A = LT⁻³
x = B t
B = LT⁻¹
now,
dx/dt = 3At^2 + B
from rule of dimension
dimension of dx/dt is equal to dimension of At^2
dx/dt = A t²
dx/dt = LT⁻³ x T²
dx/dt = LT⁻¹
hence, dimension of dx/dt is equal to LT⁻¹
Answer:
Explanation:
Maximum height reached by Dolphins is given as
now we know that
now the formula of range is given as
now we know that for maximum range the angle should be 45 degree
so we will have