Answer:
The value of the constant k is 2
Explanation:
We have the equation of the velocity 
= kt² , where k
is constant and t is the time in second
The particle's position at 
= 0 is 
= -9 m
The particle's position at 
= 3 s is 
= 9 m
We need to find the value of the constant k
The relation between the velocity and the displacement in a particular
time is x = 
Remember in integration we add power by 1 and divide the expression
by the new power
→ x = 
c is the constant of integration to find it substitute the initial value of x
and t in the equation of x
→ = 0 , = -9 m
→ -9 = 
k (0)³ + c
→ -9 = c
Substitute the value of c in the equation of x
→ x = k t³ - 9
To find k substitute the values of = 3 s , = 9 m
→ 9 = k (3)³ - 9
→ 9 = (27) k - 9
→ 9 = 9 k - 9
Add 9 to both sides
→ 18 = 9 k
Divide both sides by 9
→ k = 2
<em>The value of the constant k is 2</em>
Answer:
The maximum range is 300% of the range of the projectile is projected at an angle of 9.74°.
None of the options are correct.
Explanation:
Normally, ignoring air resistance, for projectile motion, the range (horizontal distance travelled) of the motion is given as
R = (u² sin 2θ)/g
where
u = initial velocity of the projectile
θ = angle above the horizontal at which the projectile was launched
g = acceleration due to gravity = 9.8 m/s²
The range is maximum when θ = 45°
R when θ = 45° is
R = (u² sin 90°)/g = (u²/g)
We are then told that this maximum range is 300% of the value obtainable for the range at a particular angle
Maximum range = 3R
(u²/g) = 3(u² sin 2θ)/g
Sin 2θ = (1/3)
2θ = sin⁻¹ (1/3) = 19.47°
θ = (19.47°/2) = 9.74°
Hope this Helps!!!
The power delivered by the motor lift in elevating the 10 passengers at the speed of 16.8 m/s is 205800 Watts
<h3>What is power? </h3>
Power is simply defined as the rate at which energy is consumed. It can be expressed mathematically as
Power (P) = Force (F) × velocity (v)
P = Fv
<h3>How to determine the force </h3>
- Mass (m) = 1250 Kg
- Acceleration due to gravity (g) = 9.8 m/s²
F = ma
F = 1250 × 9.8
F = 12250 N
<h3>How to determine the power </h3>
- Velocity (v) = 16.8 m/s
- Force (F) = 12250 N
P = Fv
P = 12250 × 16.8
P = 205800 Watts
Learn more about power:
brainly.com/question/5684937
Force applied = F = 628 N
<span>Acceleration = a m/s² </span>
<span>Newton's 2nd law of motion : F = Ma </span>
<span> a = F/M -------- (1) </span>
<span>New mass of the crate = M1 = 3.8M kg </span>
<span>New acceleration = a1 = F/M1 = F/(3.8 M) ----- (2) </span>
<span>a1/a = {F/(3.8M)}/(F/M) = 1/3.8 = 10/38 = 5/19 ------- Answer</span>
Answer:
c. vibrations
Explanation:
im nahh 100 percent sure this rii nn if it isnt im sorryyy
