The horizontal force Superman must apply to throw the boulder is 3670N.
According to Newton's Second law of motion,
Force F = Mass m * Acceleration a
We know that Weight W = Mass m * Gravity g
Given,
Weight W = 2400 N
Acceleration a = 15 m/
Gravitational force g = 9.81 m/
W = m * g
Mass m = 2400 / 9.81 = 244.65 kg
Horizontal force F = 244.65 * 15 = 3669.7 N
Newton's Second law of motion states that acceleration of an object depends on force acting on the object and mass of the object.
Therefore the horizontal force Superman must apply to throw the boulder is 3670N.
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In the projectile motion, the direction is characterized by a shape of the arc. Its horizontal component travels in constant velocity while the vertical component travels in constant acceleration. The equation to be used is:
2ay = |v² - v₀²|
where
a is the acceleration due to gravity equal to 9.81 m/s²
y is the height
v is the final velocity
v₀ is the initial velocity
Substitute y=1/2*H and v = 3/4*v₀. The equation for maximum height is
H = v₀²sin²θ/2a
Thus,
(2)(9.81)(1/2)(H) = |(3/4v₀)² - v₀²|
(2)(9.81)(1/2)(v₀²sin²θ/2(9.81)) = |(3/4v₀)² - v₀²|
(1/2)v₀²sin²θ = 7/16 * v₀₂
(1/2)sin²θ = 7/16
sin θ = [2*(7/16)]² = 0.765625
θ = sin⁻¹(0.765625) = 49.96°
Therefore, the launch angle is 49.96°.
Answer:
4 seconds both, due to constant acceleration.
Explanation:
Acceleration is speed change over time as magnitude, then for a) a=(31-21)m/s / t, then we can calculate t as (31-21)m/s / a = (31-21)m/s / 2,5 m/s^2 = 4 seconds. b) a=(61-31)m/s / t, again t=(61-51)m/s / a=(61-51)m/s / 2,5 m/s^2 = 4 seconds.
Answer:
Explanation:
A rectifier is an electrical device that converts alternating current (AC) to direct current (DC), a process known as rectification. Rectifiers have many uses including as components of power supplies and as amplitude modulation detectors (envelope detectors) of radio signals. Rectifiers are most commonly made using solid state diodes but other type of components can be used when very high voltages or currents are involved. When only a single diode is used to rectify AC (by blocking the negative or positive portion of the waveform), the difference between the term diode and the term rectifier is simply one of usage. The term rectifier describes a diode that is being used to convert AC to DC. Most rectifier circuits contain a number of diodes in a specific arrangement to more efficiently convert AC power to DC power than is possible with only a single diode.