Answer:
F = 32.28 N
Explanation:
For this exercise we must use the rotational equilibrium relation
Σ τ = 0
In the initial configuration it is in equilibrium, for which all the torque and forces are compensated. By the time the payment lands on the bar, we assume that the counter-clockwise turns are positive.
W_bird L / 2 - F_left 0.595 - F_right 0.595 = 0
we assume that the magnitude of the forces applied by the hands is the same
F_left = F_right = F
W_bird L / 2 - 2 F 0.595 = 0
F =
we calculate
F = 0.560 9.8 14.0 /2.38
F = 32.28 N
Answer:Correct answer: 15.85 kg·m/s
Explanation:
A 30 kg gun is standing on a frictionless sur-face. The gun fires a 50 g bullet with a muzzlevelocity of 317 m/s.The positive direction is that of the bullet.Calculate the momentum of the bullet im-mediately after the gun was fired.
Answer:
a) please find the attachment
(b) 3.65 m/s^2
c) 2.5 kg
d) 0.617 W
T<weight of the hanging block
Explanation:
a) please find the attachment
(b) Let +x be to the right and +y be upward.
The magnitude of acceleration is the same for the two blocks.
In order to calculate the acceleration for the block that is resting on the horizontal surface, we will use Newton's second law:
∑Fx=ma_x
T=m1a_x
14.7=4.10a_x
a_x= 3.65 m/s^2
c) <em>in order to calculate m we will apply newton second law on the hanging </em>
<em> block</em>
<em> </em>∑F=ma_y
T-W= -ma_y
T-mg= -ma_y
T=mg-ma_y
T=m(g-a_y)
a_x=a_y
14.7=m(9.8-3.65)
m = 2.5 kg
<em>the sign of ay is -ve cause ay is in the -ve y direction and it has the same magnitude of ax</em>
d) calculate the weight of the hanging block :
W=mg
W=2.5*9.8
=25 N
T=14.7/25
=0.617 W
T<weight of the hanging block
Answer:
87.976meters, 43.988 meters, 65.982 meters
Explanation:
Given data
Radius= 14m
Let us find the circumference of the circle
This is equivalent to the total distance covered
C= 2πr
C= 2*3.142*14
C= 87.976 meters
Hence the total distance is
87.976meters
The displacement when she has covered 1/2 the circle is
=87.976/2
=43.988 meters
The displacement when she has covered 3/4 the circle is
=87.976* 3/4
=65.982 meters
Answer:
The correct option is;
c. 45°
Explanation:
The given information is that the angle the vector makes with the horizontal = θ
Let the magnitude of the resultant vector = R
The horizontal component of the vector are given as follows;
Rₓ = R × cos(θ)
The vertical component of the vector are given as follows;
= R × sin(θ)
The resultant vector, R, in vector form, R, is the sum of the horizontal and vertical components as follows;
R = R × cos(θ)·i + R × sin(θ)·j
Therefore;
The horizontal and vertical component will be equal when cos(θ) = sin(θ)
Given that tan(θ) = sin(θ)/cos(θ), we have that when cos(θ) = sin(θ), tan(θ) = sin(θ)/cos(θ) = sin(θ)/sin(θ) = 1
tan(θ) = 1,
∴ θ = tan⁻¹(1) = 45°
θ = 45°.