Answer: 10 s, 30 m/s , 150 m
Explanation:
Given
The speed of motorcyclist is
The initial speed of a police motorcycle is
acceleration of police motorcycle is
Police will catch the motorcyclist when they traveled equal distances
distance traveled by motorcyclist in time t is
Distance traveled by Police in time t is
put
Police officer's speed at that time is
Distance traveled by each vehicle is
Answer:
False
Explanation:
Water contains ions that can conduct electricity and if touched it can cause harm (aka electrocution).
Answer: 68852 millijoules = 16.46 calories
Explanation:
Given;
Convert 68852 millijoules to calories.
1 calorie = 4.184J = 4184millijoules
Therefore,
1 millijoule = 1/4184 calories
68852 millijoule = 68852 × 1/4184 calories
= 16.46 calories
Answer:
The electric field always decreases.
Explanation:
The electric field due to a point charge is given by :
Where
k = electric constant
q = charge
r = distance from the charge
It is clear from the above equation that as the distance from the charge particle increases the electric field decreases. As you move away from a positive charge distribution, the electric field always decreases. Hence, the correct option is (c) "Always decreases".
The addition of vectors involve both magnitude and direction. In this case, we make use of a triangle to visualize the problem. The length of two sides were given while the measure of the angle between the two sides can be derived. We then assign variables for each of the given quantities.
Let:
b = length of one side = 8 m
c = length of one side = 6 m
A = angle between b and c = 90°-25° = 75°
We then use the cosine law to find the length of the unknown side. The cosine law results to the formula: a^2 = b^2 + c^2 -2*b*c*cos(A). Substituting the values, we then have: a = sqrt[(8)^2 + (6)^2 -2(8)(6)cos(75°)]. Finally, we have a = 8.6691 m.
Next, we make use of the sine law to get the angle, B, which is opposite to the side B. The sine law results to the formula: sin(A)/a = sin(B)/b and consequently, sin(75)/8.6691 = sin(B)/8. We then get B = 63.0464°. However, the direction of the resultant vector is given by the angle Θ which is Θ = 90° - 63.0464° = 26.9536°.
In summary, the resultant vector has a magnitude of 8.6691 m and it makes an angle equal to 26.9536° with the x-axis.