Answer:
1.67m/s
Explanation:
Total Distance to be travelled by a Runner=100m
Time Taken=10*6s
Speed=Distance/Time
=100/10*6=10/6=1.67m/s
Answer:
C and D
Explanation:
A uniform probability model is a probabilistic model characterized by a uniform probability density function, or uniform distribution.
In common language, a uniform probability distribution means that all possible outcomes in the probability space have the same probability of occurrence.
So:
- A fair toss of coin every possible outcome (H,T) has probability 0.5. It is modeled by by a uniform discrete distribution.
- Randomly selected answer to an MCQ with four options would have probability of success 0.25 for every MCQ. It is modeled by by a uniform discrete distribution.
- Spinning a spinner with sections that are different sizes, each section would have different probabilities proportional to the coverage area on the. It is modeled by a non-uniform discrete distribution
- Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble. Each successive time a red marble is drawn the probability decreases. Hence, non uniform distribution.
- Spinning a spinner on which all sections are the same size. Each section would have similar probabilities proportional to the coverage area on the. It is modeled by a uniform discrete distribution .
Answer:
F = -4567.40 N
Explanation:
Given that,
The power developed by the engine, P = 196 hp
1 hp = 746 W
196 hp = 146157 W
Speed of the car, v = 32 m/s
Let F is the total friction force acting on the car. The product of force and velocity is called the power developed by the engine. It is given by :
F = -4567.40 N
So, the total frictional force acting on the car is 4567.40 N. Hence, this is the required solution.
Answer:
D.None of these
Explanation:
The derivation of acceleration formula:
Let us call the 5kg mass 
and the 4kg mass 
. If the tension in the string is 
then for the mass
(1). 
<em>(the negative sign on the right side indicates that acceleration is downwards)</em>
And for the mass
(2). 
<em> (the acceleration is upwards, hence the positive sign)</em>
Solving for in the 2nd equation we get:
,
and putting this into the 1st equation we get:
Back to the question:
Using the formula for the acceleration we find
which is the acceleration that none of the given choices offer. Also, the acceleration of the two blocks is the same, because if it weren't, the difference in the instantaneous velocities of the objects would cause the string to break. Therefore, these two reasons make us decide that none of the choices are correct.
