Response:
0.60 m/s
Details:
The average speed between times t = a and t = b can be expressed as:
v_avg = (x(b) − x(a)) / (b − a)
Given the function x(t) = 0.36t² − 1.20t, and considering the interval from 1.0 to 4.0:
v_avg = (x(4.0) − x(1.0)) / (4.0 − 1.0)
v_avg = [(0.36(4.0)² − 1.20(4.0)) − (0.36(1.0)² − 1.20(1.0))] / 3.0
v_avg = [(5.76 − 4.8) − (0.36 − 1.20)] / 3.0
v_avg = [0.96 − (-0.84)] / 3.0
v_avg = 0.60
The average speed calculated is 0.60 m/s.
Answer:
Explanation:
The data indicates that point A is located midway between two charges.
To calculate the electric field at point A, we begin with the field produced by charge -Q ( 6e⁻ ) at A:
= 9 x 10⁹ x 6 x 1.6 x 10⁻¹⁹ / (2.5)² x 10⁻⁴
= 13.82 x 10⁻⁶ N/C
This field points towards Q⁻.
A similar field will arise from the charge Q⁺, but it will direct away from Q⁺ toward Q⁻.
To find the resultant field, we add these contributions:
= 2 x 13.82 x 10⁻⁶
= 27.64 x 10⁻⁶ N/C
For the force acting on an electron placed at A:
= charge x field
= 1.6 x 10⁻¹⁹ x 27.64 x 10⁻⁶
= 44.22 x 10⁻²⁵ N
Answer:
1/7 kg
Explanation:
Refer to the attached diagram for enhanced clarity regarding the question.
One of the blocks weighs 1.0 kg and accelerates downward at 3/4g.
g denotes the acceleration due to gravity.
Let M represent the block with known mass, while 'm' signifies the mass of the other block and 'a' refers to the acceleration of body M.
Given M = 1.0 kg and a = 3/4g.
By applying Newton's second law; 
For the body with mass m;
T - mg = ma... (1)
For the body with mass M;
Mg - T = Ma... (2)
Combining equations 1 and 2 gives;
+Mg -mg = ma + Ma
Ma-Mg = -mg-ma
M(a-g) = -m(a+g)
Substituting M = 1.0 kg and a = 3/4g into this equation leads to;
3/4 g-g = -m(3/4 g+g)
3/4 g-g = -m(7/4 g)
-g/4 = -m(7/4 g)
1/4 = 7m/4
Multiplying gives: 28m = 4
m = 1/7 kg
Hence, the mass of the other box is 1/7 kg
<span>First, apply Newton's second law of motion: F = ma.
Force equals mass times acceleration.
This law describes force as the product of mass multiplied by acceleration (which is different from velocity). As acceleration is the variation in velocity over time,
we have force = (mass * velocity) / time,
leading us to conclude that (mass * velocity) / time will equal momentum / time.
Hence, we derive the equation mass * velocity = momentum.
Momentum = mass * velocity.
For the elephant, with a mass of 6300 kg and velocity of 0.11 m/s,
Momentum = 6300 * 0.11,
resulting in P = 693 kg (m/s).
For the dolphin, having a mass of 50 kg and moving at 10.4 m/s,
Momentum = 50 * 10.4,
yielding P = 520 kg (m/s).
Thus, the elephant has a greater momentum (P) due to its larger size.</span>
